34129661517 has 48 divisors (see below), whose sum is σ = 57652408320. Its totient is φ = 19050352416.

The previous prime is 34129661483. The next prime is 34129661543. The reversal of 34129661517 is 71516692143.

34129661517 is a `hidden beast` number, since 3 + 4 + 1 + 29 + 6 + 615 + 1 + 7 = 666.

It is not a de Polignac number, because 34129661517 - 2¹⁴ = 34129645133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34129661617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1537584 + ... + 1559622.

It is an arithmetic number, because the mean of its divisors is an integer number (1201091840).

Almost surely, 2^34129661517 is an apocalyptic number.

It is an amenable number.

34129661517 is a deficient number, since it is larger than the sum of its proper divisors (23522746803).

34129661517 is a wasteful number, since it uses less digits than its factorization.

34129661517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22622 (or 22619 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 34129661517 in words is "thirty-four billion, one hundred twenty-nine million, six hundred sixty-one thousand, five hundred seventeen".